Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
216 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 65 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11926595 | C2 | semidirect |
| 3. #11926566 | C2 | semidirect |
| 4. Q8⋊(C19⋊C8) | C2 | semidirect |
| 5. #11926273 | C2 | semidirect |
| 6. #11926271 | C2 | semidirect |
| 7. C19×Q8⋊C8 | C2 | semidirect |
| 105. Q8⋊C8 | D19 | semidirect |
| 132. C19 | #1495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927081 | 2 |
| #11926595 | 2 |
| #11926566 | 2 |
| Q8⋊(C19⋊C8) | 2 |
| #11926273 | 2 |
| #11926271 | 2 |
| C19×Q8⋊C8 | 2 |
| #1495 | 19 |